i got Shotokan, Kyokushin, Shidokan, Uechi-ryu to choose from and even a japanese jiu jitsu place im potentially thinking of trying,Thanks in advance for your reply
I will give you my personal opinions first and then a few more objective sources.
Shotokan is my base style. It is usually light-contact and generally comes in two flavors: A) traditional (esp. ITKF) with a focus on kata and self defense and B) sport (esp. WKF) with a focus on point-contact competition. Both variants have their pros and cons but both are safe and fun.
Kyokushin is a full contact competitive style not unlike Muay Thai, the main difference being in sparring rules - the are no gloves but punching the face is forbidden. This is a drawback BUT such sparring will teach you to take (and deliver) body shots like a boss, while keeping your face intact (unless you eat a kick).
Shidokan is probably the most MMA-like Karate style of them all. Sometimes dubbed the "Triathlon of Martial arts" it encompasses full contact Karate, Muay Thai and grappling so with good instruction it can pretty much prepare you for MMA bouts. Definitely not a TMA style.
Uechi-ryu is an Okinawan karate style which is much more closely related to Kung Fu than most others. This means more unorthodox techniques and training methods, which can be weird but also quite interesting. Sparring intensity heavily depends on the org and coach.
Budokan which you also mentioned I had to Google:
https://en.wikipedia.org/wiki/Budokan_karate
Style founded by a Malaysian weight-lifter who learned his Karate for a Japanese soldier... looks like a poor man's WKF Shotokan from what I've seen on YT. Meh.
Good old post by
@shinkyoku on the sparring differences in Karate styles (mostly videos):
http://forums.sherdog.com/threads/so-you-think-you-know-all-about-karate.2263005/
A nice table of all Karate styles with division by origin, hardness and kata:
https://en.wikipedia.org/wiki/Comparison_of_karate_styles
Final word of advice (important):
If you're not aiming for MMA or kickboxing competition then the best style for you is the one you stick to and enjoy training. Simple. Go visit each dojo (first class is usually for free) and choose the one that you like the most.
Good luck!
PS. To check out which Karate styles have been represented in MMA see my sig!